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Simplifying 7(3 + v) + 31v = 12v (3 * 7 + v * 7) + 31v = 12v (21 + 7v) + 31v = 12v Combine like terms: 7v + 31v = 38v 21 + 38v = 12v Solving 21 + 38v = 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 21 + 38v + -12v = 12v + -12v Combine like terms: 38v + -12v = 26v 21 + 26v = 12v + -12v Combine like terms: 12v + -12v = 0 21 + 26v = 0 Add '-21' to each side of the equation. 21 + -21 + 26v = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 26v = 0 + -21 26v = 0 + -21 Combine like terms: 0 + -21 = -21 26v = -21 Divide each side by '26'. v = -0.8076923077 Simplifying v = -0.8076923077
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